A quantum number that describes the symmetry of a particle's wavefunction under spatial inversion.Parity is a quantum number that describes how a particle's wavefunction behaves under spatial inversion, which means flipping all spatial coordinates (x, y, z) to (-x, -y, -z). If the wavefunction remains the same, the parity is even (+1); if it changes sign, the parity is odd (-1). Parity is a fundamental property in quantum mechanics, used to classify particles and their interactions.
The concept of parity was introduced in quantum mechanics in the 1920s by Eugene Wigner, who used it to classify atomic spectra. In 1956, Tsung-Dao Lee and Chen-Ning Yang proposed that parity is not conserved in weak interactions, which was experimentally confirmed by Chien-Shiung Wu in 1957.
In quantum mechanics, the parity operator P acts on a wavefunction ψ(r) to give ψ(-r). If Pψ = ψ, parity is +1; if Pψ = -ψ, parity is -1. For a system of particles, the total parity is the product of the parities of each particle and the orbital parity, which depends on the angular momentum quantum number l: (-1)^l. Conservation of parity in strong and electromagnetic interactions means that the parity of a system before and after a reaction must be the same, which is a powerful selection rule.
Parity is used in particle physics to classify mesons and baryons, and in nuclear physics to understand nuclear energy levels and transitions. It also plays a role in quantum computing, where parity checks are used for error correction.
The violation of parity in weak interactions means that the universe has a 'handedness' — certain nuclear decays produce electrons with a preferred spin direction, which is why the Wu experiment is sometimes called the 'mirror experiment'.




